Integral Transform Techniques for Green's Function

• Main Author: Watanabe, Kazumi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Lecture Notes in Applied and Computational Mechanics, 71
• Subjects: Engineering.; Integral transforms.; Operational calculus.; Applied mathematics.; Engineering mathematics.; Mechanics.; Mechanics, Applied.; Appl.Mathematics/Computational Methods of Engineering.; Theoretical and Applied Mechanics.; Integral Transforms, Operational Calculus.

In this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and ac...

Table of Contents:

• Definition of integral transforms and distributions
• Green's functions for Laplace and wave equations
• Green's dyadic for an isotropic elastic solid
• Acoustic wave in an uniform flow
• Green's functions for beam and plate
• Cagniard de Hoop technique
• Miscellaneous Green's functions
• Exercises.